During May 2025, Nathaniel Thomas contributed to the mphowardlab/essential-math repository by developing and documenting the ODE Integrating Factors feature. He focused on providing a comprehensive mathematical explanation and derivation for integrating factors, specifically targeting the solution of non-exact and linear first-order ordinary differential equations. Nathaniel used his expertise in mathematics and technical writing to create detailed Markdown documentation, including step-by-step formulas, worked examples, and clear application notes. His work enhanced the repository’s onboarding and problem-solving resources, and he also updated contributor credits to acknowledge new team members. No major bugs were addressed during this period, reflecting stable code quality.